Write them out.
2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 = 9000
Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.
It is: 3*29 = 87 and no exponents are needed
3 x 5 = 15 No exponents are required.
102 = 21 x 31 x 171
We'd be glad to if you would tell us what the number is.
22 x 53 x 17 = 8500
No. Every composite number has one unique prime factorization. You can write it with or without exponents, but it's still the same prime factorization.
To write 144 in exponent form, first, find its prime factorization. The prime factors of 144 are 2 and 3, specifically (144 = 2^4 \times 3^2). Therefore, 144 can be expressed in exponent form as (2^4 \times 3^2).
To express 2000 using an exponent, you can factor it into its prime factors. The prime factorization of 2000 is (2^4 \times 5^3). Therefore, you can write 2000 as (2^4 \times 5^3) or simply keep it as 2000, since it does not have a single base exponent representation.
Think of the "ex" in index as meaning exponent. Write the prime factorization with exponents. 216 = 23 x 33
120=8x3x5, but 8 is not a prime. We write 8 as 23 .Now the prime factorization is 23 x3x5. We stop because all the factors are primes raised to an exponent power..
29 is already prime; no factorization.